Homework Help

The notes produced by a tuba range in frequency from approximately 45 Hz to 375 Hz....

user profile pic

celestabrown | Student, Grade 11 | eNoter

Posted April 10, 2012 at 8:58 PM via web

dislike 1 like

The notes produced by a tuba range in frequency from approximately 45 Hz to 375 Hz. Find the possible range of wavelengths in air produced by the instrument when the speed of sound in air is 343 m/s.

Tagged with frequency., science, sound, waves

1 Answer | Add Yours

user profile pic

mwmovr40 | College Teacher | (Level 1) Associate Educator

Posted April 12, 2012 at 12:18 AM (Answer #1)

dislike 0 like

The relationship for wavespeed and the properties of a wave are given by the relationships

S = df  where S is speed, d is the distance traveled, and f is frequency

S = d/T where T is the period

S = Wf where W is the wavelength

and S = W/T

For this given problem we can find the minimum and maximum wavelengths rearranging the S = Wf equation.

W = S/f

for the lowest note of 45 Hz (45/second) we get W = (343m/s)/(45/s) = 7.62 m

for the highest note of 375Hz (375/seconds) we get

W=(343m/s)/(375/s) = 0.915 m.  

Therefore the range of wavelengths is between 0.915m to 7.62m.

Sources:

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes